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4 years ago

8

A proportional relationship between the number of pounds of carrots (x) and the price in dollars (y) is graphed, and the ordered

pair (8, 6) is on the graphed line. Part A: What is the price of 1 pound of carrots? Show your work. (8 points)

1 answer:

aleksklad [387]4 years ago

8 0

Answer:

$0.75

Step-by-step explanation:

We have been given that a proportional relationship between the number of pounds of carrots (x) and the price in dollars (y).

We can represent this information as: $y=kx$ .

We are also told that the ordered pair (8, 6) is on the graphed line. Let us substitute x= 8 and y= 6 in our proportional equation to find the constant of proportionality.

$6=k*8$

$k=\frac{6}{8}$

$k=\frac{3}{4}$

Now let us substitute k=3/4 and x=1 in our proportionality equation.

$y=\frac{3}{4}*1$

$y=\frac{3}{4}$

$y=0.75$

Therefore, the price of 1 pound of carrots will be $0.75.

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Mr. Shaw wants to replace the flooring his family room. The floor has an area of 262.8 square feet. If the room is 18 feet long,

iVinArrow [24]

Answer:

14.6

Step-by-step explanation:

The area of a rectangle is area=length*width

so we can substitute the numbers here, 262.8=18w

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3 years ago

3/4=m+1/4 <br> What is m<br>

Julli [10]

Answer:

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Step-by-step explanation:

We need to solve the equation:

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In order to solve for m, we must isolate the variable - in other words, we need to move all the m terms to one side and all the non-m terms to the other.

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Thus, m = 1/2.

<em>~ an aesthetics lover</em>

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4 years ago

Can someone help me answer this? Thanks! :)

sladkih [1.3K]

Answer:

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Step-by-step explanation:

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7 0

4 years ago

A cone has a diameter of 9 inches and a height of 12 inches. Find the volume of the cone to the nearest tenth.

Vanyuwa [196]

1)
The formula for calculating the cone volume is:
$V = \frac{ \pi *r^2*h}{3}$

Data:
V (volume) = ?
h (height) → h = 12 in
d (diagonal) = 9 in , if: d = 2*r , soon: 9 = 2*r → 2r = 9 → r = 9/2 → r = 4.5 in
Use: $\pi \approx 3.14$

Solving:
$V = \frac{ \pi *r^2*h}{3}$
$V = \frac{ 3.14 *4.5^2*12}{3}$
$V = \frac{ 3.14 *20.25*12}{3}$
$V = \frac{763.02}{3}$
$\boxed{\boxed{V = 254.34\:in^3}}\end{array}}\qquad\quad\checkmark$

2)
The circle area formula is: $A = \pi * r^2$

Data:
A (area) = ?
d (diagonal) = 19 Km , if: d = 2*r , soon: 19 = 2*r → 2r = 19 → r = 19/2 → r = 9.5 Km
Use: $\pi \approx 3.14$

Solving:
$A = \pi * r^2$
$A = 3.14*9.5^2$
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4 years ago

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denis23 [38]

Answer:

HG = 6 units

Step-by-step explanation:

H and G are the mid points of the sides BC and BA respectively.

Therefore, by mid-point formula:

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4 0

4 years ago